Frequency Domain - Different Frequency Domains

Different Frequency Domains

Although "the" frequency domain is spoken of in the singular, there are a number of different mathematical transforms which are used to analyze time functions and are referred to as "frequency domain" methods. These are the most common transforms, and the fields in which they are used:

  • Fourier series – repetitive signals, oscillating systems
  • Fourier transform – nonrepetitive signals, transients
  • Laplace transform – electronic circuits and control systems
  • Wavelet transform – digital image processing, signal compression
  • Z transform – discrete signals, digital signal processing

More generally, one can speak of the transform domain with respect to any transform. The above transforms can be interpreted as capturing some form of frequency, and hence the transform domain is referred to as a frequency domain.

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